\(M\) is the midpoint of \(\overline{PQ}\) and \(N\) is the midpoint of \(\overline{PR}\), and \(O\) is the intersection of \(\overline{QN}\) and \(\overline{RM}\), as shown. If \(\overline{QN}\perp\overline{PR}\), \(QN = 12\) ,and \(PR = 14\), then find \(OR\)
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